Question

A train can cross a pole, a bridge of 570 meter long and platform of 480 meter long in 11 seconds, _____ seconds and 27 seconds, respectively.

The value given in which of the following option will fill the blank to make the above statement true:

A 34 seconds Correct Answer Incorrect Answer
B 37 seconds Correct Answer Incorrect Answer
C 32 seconds Correct Answer Incorrect Answer
D 30 seconds Correct Answer Incorrect Answer

Solution

Let the length of the train = x meter So according to question: x/11 = (x + 480)/27 27x = 11x + 5280 16x = 5280 x = 330 So the length of the train = 330 m Speed of the train = 330/11 = 30 m/s Time taken by the train to cross a bridge 570 meter long = (330 + 570)/30 = 900/30 = 30 seconds

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